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Finding the Fourth Proportional to 9,155.94, 12,625.74 and 7,834.02

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Solution

The fourth proportional to 9,155.94, 12,625.74 and 7,834.02 is: 10,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.94 : 12,625.74 = 7,834.02 : x
  2. Step 2: Convert to fraction form
    9,155.94/12,625.74 = 7,834.02/x
  3. Step 3: Cross multiply
    9,155.94x = 12,625.74 × 7,834.02
  4. Step 4: Simplify right side
    9,155.94x = 98,910,299.67
  5. Step 5: Solve for x
    x = 98,910,299.67/9,155.94
  6. Step 6: Final answer
    x = 10,802.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.